An accurate space-time pseudospectral method for solving nonlinear multi-dimensional heat transfer problems

DOI10.1007/s00009-016-0827-0zbMath1362.65116OpenAlexW2563880656MaRDI QIDQ523666

Bashar Zogheib, Emran Tohidi

Publication date: 21 April 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-016-0827-0

zbMATH Keywords

collocation methodnumerical examplesnonlinear partial differential equationsspectral approximationoperational matrix of differentiationChebyshev Gauss Lobatto collocation pointsmulti-dimensional heat transfer problems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical differentiation (65D25)

Related Items (6)

Generalized Laplace-type transform method for solving multilayer diffusion problems ⋮ Legendre spectral collocation method for distributed and Riesz fractional convection-diffusion and Schrödinger-type equation ⋮ Chebyshev pseudo-spectral method for optimal control problem of Burgers’ equation ⋮ Modal Hermite spectral collocation method for solving multi-dimensional hyperbolic telegraph equations ⋮ Spectral solutions for a class of nonlinear wave equations with Riesz fractional based on Legendre collocation technique ⋮ A novel study based on Lerch polynomials for approximate solutions of pure Neumann problem

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